Implementation of the activity approach in the process of constructing systems of mathematical problems

Video is uniquely determined by the equation, if: a) he satisfies the coordinates (x; y) is any point on this line, and Vice versa; b) any pair of numbers (x; y) satisfy the equation of the line represents the coordinates of a straight line. Any line on the coordinate plane has an equation of the form ax + by + c = 0. Finding the coordinates of two points, you can get a geometric image of the line on the coordinate plane. Using analytical and geometric languages, you can describe the properties of a straight line in analytical and geometric languages. Thus, the solution of mathematical problems by geometric transformation, vector and coordinate methods contributes to the training of students in the construction of mathematical models of the studied processes, their study and application.